INTEGRATED BISEMIGROUP AND APPLICATIONS TO IMPULSIVE DIFFERENTIALEQUATIONS |
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引用本文: | 许跟起. INTEGRATED BISEMIGROUP AND APPLICATIONS TO IMPULSIVE DIFFERENTIALEQUATIONS[J]. 数学物理学报(A辑), 1997, 0(Z1) |
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作者姓名: | 许跟起 |
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作者单位: | Xu Genqi (Department of Mathematics,University of Shanxi,Taiyuan 030006,China) |
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摘 要: | 1IntroductionRecellt1yauth0rintr0ducethec0nceptofintegratedbisemigroupwhichliavebeendeveloped~,.lorsoivmgtheabstractkineticequation[11'Thisthe0ryextendstheoperatorsbisendgroupthe0r}toabstractboundaryvaluepr0blmewith0peratorwhichd0notgenerateastrong1ycontiuousbisentigroup.Ontheotherhand,thistheoryextendsthetheoryofintegratedsedrigr0upals0.ItismorericherthantheintegratedseAngroup8[5-91.InthispaPerwewillusethistlieoryt0studythes0lvabilityofabstractimpul8ivcdifferentialequati0ns.Insection2.werec…
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INTEGRATED BISEMIGROUP AND APPLICATIONS TO IMPULSIVE DIFFERENTIAL EQUATIONS |
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Abstract: | In this paper author studies the solvability of abstract hopulsive differential equations on Banach space X. By terms of integrated bisendgroup, author obtains the existence of abstract impulsive differential equations with finite contant impulses and gives a condition which makes the impulsive equation be solvable for a Variable impuls. |
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Keywords: | Integrated bisemigroup impulsive differential equation solvability |
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